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Short Quiz - Chapter 1 Class 11 Sets

Chapter 1 Class 11 Sets | 5 questions

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Question 1 of 5
Question 1 of 5
Write the solution set of the equation \(x^2+x-2=0\) in roster form.

Correct option: A

Answer: A

Solution: Factoring the equation gives \((x-1)(x+2)=0\). Therefore, \(x=1\) or \(x=-2\).

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Question 2 of 5
If \(A=\left\{x \in R: x^2-5 x+6=0\right\}\) and \(B=\left\{x \in R: x^2-9=0\right\}\), then \(A \cup B\) is:

Correct option: A

Answer: A

Solution: \(A=\{2,3\}, B=\{3,-3\}\). The union combines elements without repetition.

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Question 3 of 5
The set \(\left\{x: x\right.\) is a positive integer and \(\left.x^2<10\right\}\) is:

Correct option: A

Answer: A

Solution: The squares are \(1,4,9\) which are less than 10 . ( 0 is not positive).

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Question 4 of 5
What is the intersection of all intervals of the form \((-1 / n, 1 / n)\) for \(n \in N\) ?

Correct option: B

Answer: B

Solution: As n increases, the interval shrinks towards 0.0 is the only number present in every single interval.

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Question 5 of 5
What is \(U \cup A\) ?

Correct option: B

Answer: B

Solution: The union of the universal set with any of its subsets is the universal set itself.

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